Detailed Information on Publication Record
2019
Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems
SERGYEYEV, Artur and Maciej BŁASZAKBasic information
Original name
Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems
Authors
SERGYEYEV, Artur (804 Ukraine, belonging to the institution) and Maciej BŁASZAK (616 Poland, guarantor)
Edition
1st Edition. Boca Raton, Nonlinear Systems and Their Remarkable Mathematical Structures, p. 29-58, 30 pp. Volume 2, 2019
Publisher
Chapman and Hall/CRC
Other information
Language
English
Type of outcome
Kapitola resp. kapitoly v odborné knize
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
Publication form
printed version "print"
RIV identification code
RIV/47813059:19610/19:A0000070
Organization unit
Mathematical Institute in Opava
ISBN
978-0-367-20847-9
Keywords in English
integrable systems; Lax pairs; dispersionless systems
Tags
Links
GBP201/12/G028, research and development project.
Změněno: 22/4/2021 11:22, Mgr. Aleš Ryšavý
Abstract
V originále
We review the recent approach to the construction of (3+1)-dimensional integrable dispersionless partial differential systems based on their contact Lax pairs and the related R-matrix theory for the Lie algebra of functions with respect to the contact bracket. We discuss various kinds of Lax representations for such systems, in particular, linear nonisospectral contact Lax pairs and nonlinear contact Lax pairs as well as the relations among the two. Finally, we present a large number of examples with finite and infinite number of dependent variables, as well as the reductions of these examples to lower-dimensional integrable dispersionless systems.